2022/03/21 by Li, Yu, Qi, Zihao, Xu, Yongjun +3
#16P90 #18M60 #18M70 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2203.11109
We study operads with trivial \mathbbA-actions and prove an equivalence between the category of \mathbbA-trivial operads and that of pseudo-graded-Perm associative algebras. As a consequence, we show that finitely generated \mathbbA-trivial operads are right noetherian of integral Gelfand-Kirillov dimension and that every element in a prime \mathbbA-trivial operad is central.